what is (9/8)^3x+12=1

Answers

Answer 1

The solution for the expression is x = -4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To solve for x in the equation

(9/8)^(3x+12) = 1

we can take the natural logarithm of both sides and use the properties of logarithms to simplify.

ln[(9/8)^(3x+12)] = ln(1)

(3x+12) ln(9/8) = 0 (since ln(1) = 0)

3x + 12 = 0 (since ln(9/8) ≠ 0)

3x = -12

x = -4

Therefore,

The solution is x = -4.

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Related Questions

Christina is paid biweekly. Her annual salary is 37,500. What is her biweekly salary, rounded to the nearest cent?

Answers

Answer:

$1,423.08

Step-by-step explanation:

[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.

*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

The biweekly salary, rounded to the nearest cent is 1,423.08.

It is required to find the solution.

What is rounded number?

A number that is easily multiplied, divided, etc., and especially a number that ends in zero.

Given :

Christina is paid biweekly. Her annual salary is 37,500.

According to given question we have,

We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.

37500/26=1423.076

Rounded to the nearest cent it becomes 1,423.08.

Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.

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I’m trying to do the math but I keep getting mixed up. I keep forgetting wether or not I should add a zero.

This is the question by the way:

1.09 x 5.4

Answers

5.886 it’s this (: hope it helps

every integer is _______number? an irrational , a natural , a whole , a rational.

Answers

Answer:

every integer is a whole number

1.Write 6,730,000 in scientific notation.

2. Write 13,300 in scientific notation.

3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.

Answers

Answer:

6.73 X 10 to the sixth power.

1.33 X 10 to the fifth power.

9.77 X 10 to the twenty-second power.

Step-by-step explanation:

Courtney and Malik are buying a rug to fit in a
50-square-foot space, Which rug should they
purchase? Explain.
$99 Rug Sale!
7 ft x 7 ft
8 ft diameter
6 ft x 8ft
Rug Emporium has your floors covered.

Answers

Answer:

I think its 7x7 because it equals to 49 and its the closest to 50 and the rug would fit better than 6x 8 1/2=51 becuase 49 is smaller and would fit better.

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The correct option is B, 8ft diameter.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Since Courtney and Malik want the rug to fit in an area of 50-square-foot space. Therefore, we need to first calculate the area of the given rugs, and then choose the one that can completely cover the area.

7 ft x 7 ft → Area = 7 ft x 7 ft = 49 ft²8 ft diameter → Area = (π/4)×Diameter² = (π/4)×(8ft²) = 50.2654 ft² 6 ft x 8ft → Area = 6 ft x 8ft = 48 ft²

Now, as it can be seen that the only rug that can completely cover the 50-square-foot area is the one that has a diameter of 8 ft.

Hence, the correct option is B, 8ft diameter.

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Solve the equation for the variable.

[tex] - 4v - 9 = 3v + 5[/tex]

v = [?]​

Answers

Answer:

-4v -9 = 3v +5

=) -4v -3v = 5 +9

=) -7v =14

=) v = 14/ -7

V = -2

At its highest point, the elevation of a country is 5,762 feet above sea level. At its lowest point, the elevation of the country is 8 feet below sea level. Answer parts a through c

Answers

Answer:

Step-by-step explanation:

5,762 - (-8)

The total difference between the highest point and the lowest point of the country is given as 5, 770 feet.

Given that,
At its highest point, the elevation of a country is 5,762 feet above sea level. At its lowest point, the elevation of the country is 8 feet below sea level.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Highest point = 5,762
The lowest point below the sea level = -8 feet
Total difference in the point = 5762 - (-8) = 5770 feet

Thus, the total difference between the highest point and the lowest point of the country is given as 5, 770 feet.

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20-(-3) for algebra to find the difference

Answers

Hey there!

ANSWER: [tex]-60[/tex]EXPLANATION:

[tex]20-(-3)[/tex]

[tex]Subtract:\\20-(-3)\\=-60(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Regina is walking to school after 10 minutes, jen has walked 3/10 mile.Find her speed in miles per hour A 2.5 miles B 1.3 miles C 1.8 miles per hour D 3miles per hour

Answers

Answer:

B. 1.8miles/hour

Step-by-step explanation:

Speed = distance/time

Given parameters

Distance = 3/10 miles

Time = 10miuntes

Convert the time to hours

10minutes = (10/60)hour

10minutes = 1/6 hour

Substitute the parameters into the formula;

Distance = (3/10)/(1/6)

Distance = 3/10× 6/1

Distance = 18/10

DISTANCE = 1.8miles/hour

Consider the following function:
y = one-fourth cosine (negative one-fourth x)

Which of the following statements are true? Check all that apply.
The graph is symmetric to the y-axis.
The function decreases on the interval (0, 4π).
The frequency is StartFraction 1 Over 4 pi EndFraction.
The graph is compressed horizontally by a factor of One-fourth
The graph has x-intercepts at x = 2π and x = 6π.


Please help and give an explanation if possible

Answers

Answer:

the answers are A., B., and E.

Step-by-step explanation:

The correct options are A, B, and E which represent the condition of the function y = 0.25 cos (- 0.25x).

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = 0.25 cos (- 0.25x)

The graph of the cosine function is given below.

The key points regarding cosine function are as follows:

The graph is symmetric to the y-axis.The function decreases on the interval (0, 4π).The graph has x-intercepts at x = 2π and x = 6π.

The correct options are A, B, and E which represent the condition of the function y = 0.25 cos (- 0.25x).

More about the function link is given below.

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please help, image is attached.

Answers

Answer:

∠ JKM = 36°

Step-by-step explanation:

Since KM  is the angle bisector of ∠ JKL , then

∠ JKM = [tex]\frac{1}{2}[/tex] ∠ JKL = 0.5 × 72° = 36°

Whta is 80 - (-9) = explain pls

Answers

Answer:

80 - (-9) = 89.

Explanation:

In math, two negatives next to each other will become a positive. Since a negative number is being subtracted, The negatives will cancel.

So this:

80 - (-9)

Is functionally the same as this:

80 + 9

Therefore, the answer is 89.

Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking

Answers

Answer:shrinking

Step-by-step explanation:

Answer:

bringing iron in

Step-by-step explanation:

hoped this helped let me know if it did

3 divided by 64,126

Answers

Answer:

00.00004678289

Step-by-step explanation:

Find the slope of the line through (2, -3) and (-4, 3).

Answers

Answer: slope m=-1

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]

Step-by-step explanation:

[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]

[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]

[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]

[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]

[tex] \tt{Hope \: I \: helped ! } [/tex]

[tex] \sf{Best \: regards !!}[/tex]

~TheAnimeGirl

Use the distributive property to find the product

Answers

Answer:

1st one: -24a-6b-36c

2nd one: 14mn-12m

Step-by-step explanation:

1st one: Multiply '-6' w/ '4a', 'b', and '6c'

2nd one: Multiply '2m' w/ '7n' and '-6'

The second one is 14mn - 12m and the first is -24a + -6b + -36c

Divide. 32 by 565 Enter your answer in the boxes as a mixed number in simplest form.​

Answers

Answer:

17 21/32

Step-by-step explanation:

2. The ticket for an NBA playoff game is $13,000. Suppose
you have $5,000 saved and every week you save another
$800. You use the following equation to calculate how
much money you have after a certain amount of weeks:
f(w) = 5000 + 800w

What does w represent in this equation?

Answers

Answer:

18,500 because youvadd 500

Sara, Nick and June share some sweets in the ratio 1:2:3. Sara gets 7 sweets. How many did June get?

Answers

Answer:

sara gets 7 sweets, nick will get 14 sweets and june will get 21 sweets

please give me brainliest answer

The following data values represent a sample. What is the variance of the sample? X=9. Use the information in the table to help you.

Answers

Answer: it’s 28 for sure

Step-by-step explanation:

Answer:28

Step-by-step explanation:

Translate the sentence into an inequality.
Twice the difference of a number and 3 is at least -20.

Answers

Answer: 2n-3>=-20

Step-by-step explanation: instead of the equal sign put a line under the sign <

After translating the given statement, the inequality will be 2x - 3 ≥ -20.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values.

Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

The statement for the inequality in the question,

Twice, the difference between a number and 3 is at least -20.

Let the number be x.

Twice the number is 2x.

So,

2x - 3 ≥ -20

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HELP ASAP my answer is c

Answers

your answer is correct.

That should be right

First Question: G=?

Second Question: H=?

Third Question: I=?

Answers

Answer:

92°100°114°

Step-by-step explanation:

Refer to attached

Added parallel lines in red to help:

g = 360° - (144°+124°) = 92°h = 360° - (162° + 98°) = 100°i = 360° - (117° + 129°) = 114°

GETT IT RIGHT AND GET BRAINLIEST

Answers

Answer:

18

Step-by-step explanation:

58 - |-40| =

58 -40=

18

Answer:

18

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| a | = | - a | = a

Given

58 - | n | , substitute n = - 40

58 - | - 40 |

= 58 - 40

= 18

PQ= 2x
RQ=3x+1
What is the value of x

Answers

Answer:

Boom boom eat my but cheeks

Step-by-step explanation:

Can anyone help me with this

Answers

Answer:

2700[tex]ft^{3}[/tex]

Step-by-step explanation:

First you find the volume of the bigger cuboid:

Volume= Length * width * height

Volume= 22 * 10 * 11

Volume= 2420[tex]ft^{3}[/tex]

Then the volume of the smaller cuboid:

Volume= Length * width * height

Volume= 7 * 10 * 4

Volume= 280[tex]ft^{3}[/tex]

Then add the volumes of the two shapes:

2420 + 280= 2700[tex]ft^{3}[/tex]

HOPE THIS HELPED

Question 1
Write the equation of the line that is parallel to this line and passes through the point (7,-2)
y =1/7x-5
O y = (1/7)x - 3
O y = (1/7)x + 1
O y = -7x + 47
O y = -7x + 51

Answers

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

An item on sale costs 95% of the original price. The original price was $39.

Answers

Your answer is $37.05, it is really easy, just ask Siri.

Answer:

$1.95

Step-by-step explanation:

Multiply 39 by .95, this will give you 37.05.

You then subtract, 39-37.05= 1.95

Hope this helped!

what is the slope of the line that passes through the points (5,10) and (11,-12)

Answers

Answer:m=-11/3

Step-by-step explanation:

Answer:

-11/3

Step-by-step explanation:

We have two points so we can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -12-10)/(11 -5)

   = -22/6

    = -11/3

What is the hypothesis of the statement?

"I will cook dinner, if I get home before 5:00."


I will cook dinner.

If I get home after 5:00.

I will not cook dinner.

If I get home before 5:00.

Answers

Answer:

if i get home after 5:00

Step-by-step explanation:

there is an IF

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